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Finding the Third Proportional to 192,150 and 288,840

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Solution

The third proportional to 192,150 and 288,840 is: 434,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,150 : 288,840 = 288,840 : x
  2. Step 2: Convert to fraction form
    192,150/288,840 = 288,840/x
  3. Step 3: Cross multiply
    192,150x = 288,840 × 288,840
  4. Step 4: Simplify right side
    192,150x = 83,428,545,600
  5. Step 5: Solve for x
    x = 83,428,545,600/192,150
  6. Step 6: Final answer
    x = 434,184.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.